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Finding the Third Proportional to 48,143 and 103,899

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Solution

The third proportional to 48,143 and 103,899 is: 224,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,143 : 103,899 = 103,899 : x
  2. Step 2: Convert to fraction form
    48,143/103,899 = 103,899/x
  3. Step 3: Cross multiply
    48,143x = 103,899 × 103,899
  4. Step 4: Simplify right side
    48,143x = 10,795,002,201
  5. Step 5: Solve for x
    x = 10,795,002,201/48,143
  6. Step 6: Final answer
    x = 224,227.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.